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Volumn 351, Issue , 1997, Pages 139-165

Instability of two-layer creeping flow in a channel with parallel-sided walls

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; INTEGRAL EQUATIONS; NAVIER STOKES EQUATIONS; PERTURBATION TECHNIQUES; REYNOLDS NUMBER; SURFACE TENSION; VELOCITY; VISCOSITY;

EID: 0031269657     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097007052     Document Type: Article
Times cited : (21)

References (37)
  • 1
    • 0008769503 scopus 로고
    • Linear stability analysis of multilayer plane Poiseuille flow
    • ANTURKAR, N. R., PAPANASTASIOU, T. C. & WILKES, J. O. 1990 Linear stability analysis of multilayer plane Poiseuille flow. Phys. Fluids A 2, 530-541.
    • (1990) Phys. Fluids A , vol.2 , pp. 530-541
    • Anturkar, N.R.1    Papanastasiou, T.C.2    Wilkes, J.O.3
  • 2
    • 0030292894 scopus 로고    scopus 로고
    • Direct simulation of interfacial waves in a high-viscosity-ratio and axisymmetric core-annular flow
    • BAI, R., KELKAR, K. & JOSEPH, D. D. 1996 Direct simulation of interfacial waves in a high-viscosity-ratio and axisymmetric core-annular flow. J. Fluid Mech. 327, 1-34.
    • (1996) J. Fluid Mech. , vol.327 , pp. 1-34
    • Bai, R.1    Kelkar, K.2    Joseph, D.D.3
  • 3
    • 0029395145 scopus 로고
    • Experimental study of interfacial long waves in a two-layer shear flow
    • BARTHELET, P., CHARRU, F. & FABRE, J. 1995 Experimental study of interfacial long waves in a two-layer shear flow. J. Fluid Mech. 303, 23-53.
    • (1995) J. Fluid Mech. , vol.303 , pp. 23-53
    • Barthelet, P.1    Charru, F.2    Fabre, J.3
  • 4
    • 0027995708 scopus 로고
    • Long waves at the interface between two viscous fluids
    • CHARRU, F. & FABRE, J. 1994 Long waves at the interface between two viscous fluids. Phys. Fluids 6, 1223-1235.
    • (1994) Phys. Fluids , vol.6 , pp. 1223-1235
    • Charru, F.1    Fabre, J.2
  • 5
    • 0027475962 scopus 로고
    • Wave formation in the gravity-driven low-Reynolds-number flow of two liquid films down an inclined plane
    • CHEN, K. 1990 Wave formation in the gravity-driven low-Reynolds-number flow of two liquid films down an inclined plane. Phys. Fluids A 5, 3038-3048.
    • (1990) Phys. Fluids A , vol.5 , pp. 3038-3048
    • Chen, K.1
  • 6
    • 0031115866 scopus 로고    scopus 로고
    • Temporal evolution of periodic disturbances in two-layer Couette flow
    • COWARD, A. V., RENARDY, Y. Y., RENARDY, M. & RICHARDS, J. R. 1997 Temporal evolution of periodic disturbances in two-layer Couette flow. J. Comput. Phys. 132, 346-361.
    • (1997) J. Comput. Phys. , vol.132 , pp. 346-361
    • Coward, A.V.1    Renardy, Y.Y.2    Renardy, M.3    Richards, J.R.4
  • 8
    • 0022478038 scopus 로고
    • Squire's theorem for two stratified fluids
    • HESLA, T. L. PRANCKH, F. R. & PREZIOSI, L. 1986 Squire's theorem for two stratified fluids. Phys. Fluids 29, 2808-2811.
    • (1986) Phys. Fluids , vol.29 , pp. 2808-2811
    • Hesla, T.L.1    Pranckh, F.R.2    Preziosi, L.3
  • 9
    • 18744426781 scopus 로고
    • A note of the mechanism of the instability at the interface between two shearing fluids
    • HINCH, E. J. 1984 A note of the mechanism of the instability at the interface between two shearing fluids. J. Fluid Mech. 14, 463-465.
    • (1984) J. Fluid Mech. , vol.14 , pp. 463-465
    • Hinch, E.J.1
  • 10
    • 0021852734 scopus 로고
    • Long-wave instability at the interface between two viscous fluids
    • HOOPER, A. P. 1985 Long-wave instability at the interface between two viscous fluids. Phys. Fluids 28, 1613-1618.
    • (1985) Phys. Fluids , vol.28 , pp. 1613-1618
    • Hooper, A.P.1
  • 11
    • 0001120469 scopus 로고
    • The stability of two superposed viscous fluids in a channel
    • HOOPER, A. P. 1989 The stability of two superposed viscous fluids in a channel. Phys. Fluids 1, 1133-1142.
    • (1989) Phys. Fluids , vol.1 , pp. 1133-1142
    • Hooper, A.P.1
  • 12
    • 0021892288 scopus 로고
    • Nonlinear instability at the interface between two viscous fluids
    • HOOPER, A. P. & GRIMSHAW, R. 1985 Nonlinear instability at the interface between two viscous fluids. Phys. Fluids 28, 37-45.
    • (1985) Phys. Fluids , vol.28 , pp. 37-45
    • Hooper, A.P.1    Grimshaw, R.2
  • 13
    • 0028450155 scopus 로고
    • Experimental and computational studies of mixing in complex Stokes flows: The vortex mixing flow and multicellular cavity flows
    • JANA, S., METCALFE, G. & OTTINO, J. M. 1994 Experimental and computational studies of mixing in complex Stokes flows: the vortex mixing flow and multicellular cavity flows. J. Fluid Mech. 269, 199-246.
    • (1994) J. Fluid Mech. , vol.269 , pp. 199-246
    • Jana, S.1    Metcalfe, G.2    Ottino, J.M.3
  • 15
    • 0001259649 scopus 로고
    • Experimental investigation of the stability of channel flow
    • KAO, M. E. & PARK, C. 1972 Experimental investigation of the stability of channel flow. J. Fluid Mech. 52, 401-423.
    • (1972) J. Fluid Mech. , vol.52 , pp. 401-423
    • Kao, M.E.1    Park, C.2
  • 16
    • 0030927051 scopus 로고    scopus 로고
    • Viscous damping and instabilities in stratified liquid film flowing down a slightly inclined plane
    • KLIAKHANDLER, I. L. & SIVASHINSKY, G. I. 1997 Viscous damping and instabilities in stratified liquid film flowing down a slightly inclined plane. Phys. Fluids 9, 23-30.
    • (1997) Phys. Fluids , vol.9 , pp. 23-30
    • Kliakhandler, I.L.1    Sivashinsky, G.I.2
  • 17
    • 0014636748 scopus 로고
    • Instability of three-layer viscous stratified flow
    • Li, C.-H. 1969 Instability of three-layer viscous stratified flow. Phys. Fluids 12, 2473-2481.
    • (1969) Phys. Fluids , vol.12 , pp. 2473-2481
    • Li, C.-H.1
  • 18
    • 36549098358 scopus 로고
    • The effect of viscosity stratification on the stability of a free surface flow at low Reynolds number
    • LOEWENHERZ, D. S. & LAWRENCE, C. J. 1989 The effect of viscosity stratification on the stability of a free surface flow at low Reynolds number. Phys. Fluids A 1, 1686-1693.
    • (1989) Phys. Fluids A , vol.1 , pp. 1686-1693
    • Loewenherz, D.S.1    Lawrence, C.J.2
  • 19
    • 0022093517 scopus 로고
    • Propagation of long waves of finite amplitude at the interface of two viscous fluids
    • OOMS, G., SEGAL, A., CHEUNG, S. Y. & OLIEMANS, R. V. A. 1985 Propagation of long waves of finite amplitude at the interface of two viscous fluids. Intl. J. Multiphase Flow 11, 481-502.
    • (1985) Intl. J. Multiphase Flow , vol.11 , pp. 481-502
    • Ooms, G.1    Segal, A.2    Cheung, S.Y.3    Oliemans, R.V.A.4
  • 23
    • 0030962993 scopus 로고    scopus 로고
    • Numerical studies of singularity formation at fluid interfaces in two-dimensional Stokes flow
    • POZRIKIDIS, C. 1997b Numerical studies of singularity formation at fluid interfaces in two-dimensional Stokes flow. J. Fluid Mech. 331, 145-167.
    • (1997) J. Fluid Mech. , vol.331 , pp. 145-167
    • Pozrikidis, C.1
  • 24
    • 0027518319 scopus 로고
    • Derivation of amplitude equations and analysis of sideband instabilities in two-layer flows
    • RENARDY, M. & RENARDY, Y. 1993 Derivation of amplitude equations and analysis of sideband instabilities in two-layer flows. Phys. Fluids A 5, 2738-2762.
    • (1993) Phys. Fluids A , vol.5 , pp. 2738-2762
    • Renardy, M.1    Renardy, Y.2
  • 25
    • 0022264804 scopus 로고
    • Instability at the interface between two shearing fluids in a channel
    • RENARDY, Y. 1985 Instability at the interface between two shearing fluids in a channel. Phys. Fluids 28, 3441-3443.
    • (1985) Phys. Fluids , vol.28 , pp. 3441-3443
    • Renardy, Y.1
  • 26
    • 0642363880 scopus 로고    scopus 로고
    • Two-dimensional Stokes flows with time-dependent free boundaries driven by surface tension
    • RICHARDSON, S. 1997 Two-dimensional Stokes flows with time-dependent free boundaries driven by surface tension. Eur. J. Appl. Maths 8, 311-329.
    • (1997) Eur. J. Appl. Maths , vol.8 , pp. 311-329
    • Richardson, S.1
  • 28
    • 0038954752 scopus 로고
    • Numerical solution of eigenvalue problems using spectral techniques
    • SU, Y. Y. & KHOMAMI, B. 1992 Numerical solution of eigenvalue problems using spectral techniques. J. Comput. Phys. 100, 297-305.
    • (1992) J. Comput. Phys. , vol.100 , pp. 297-305
    • Su, Y.Y.1    Khomami, B.2
  • 29
    • 0028564363 scopus 로고
    • Linear stability theory of two-layer fluid flow in an inclined channel
    • TILLEY, B. S., DAVIS, S. H. & BANKOFF, S. G. 1994a Linear stability theory of two-layer fluid flow in an inclined channel. Phys. Fluids 6, 3906-3922.
    • (1994) Phys. Fluids , vol.6 , pp. 3906-3922
    • Tilley, B.S.1    Davis, S.H.2    Bankoff, S.G.3
  • 30
    • 0028519599 scopus 로고
    • Nonlinear long-wave stability of superposed fluids in an inclined channel
    • TILLEY, B. S., DAVIS, S. H. & BANKOFF, S. G. 1994a Nonlinear long-wave stability of superposed fluids in an inclined channel. J. Fluid Mech. 277, 55-83.
    • (1994) J. Fluid Mech. , vol.277 , pp. 55-83
    • Tilley, B.S.1    Davis, S.H.2    Bankoff, S.G.3
  • 31
    • 0026258247 scopus 로고
    • Stretching and breakup of droplets in chaotic flows
    • TJAHJADI, M. & OTTINO, J. M. 1991 Stretching and breakup of droplets in chaotic flows. J. Fluid Mech. 232, 191-219.
    • (1991) J. Fluid Mech. , vol.232 , pp. 191-219
    • Tjahjadi, M.1    Ottino, J.M.2
  • 32
    • 0003155339 scopus 로고
    • Long-wavelength instabilities in three-layer flow down in incline
    • WEINSTEIN, S. J. & KURZ, M. R. 1991 Long-wavelength instabilities in three-layer flow down in incline. Phys. Fluids 3, 2680-2687.
    • (1991) Phys. Fluids , vol.3 , pp. 2680-2687
    • Weinstein, S.J.1    Kurz, M.R.2
  • 33
    • 0023795715 scopus 로고
    • Linear stability of plane Poiseuille flow of two superposed fluids
    • YIANTSIOS, S. & HIGGINS, B. G. 1988 Linear stability of plane Poiseuille flow of two superposed fluids. Phys. Fluids 31, 3225-3238.
    • (1988) Phys. Fluids , vol.31 , pp. 3225-3238
    • Yiantsios, S.1    Higgins, B.G.2
  • 34
    • 84974380140 scopus 로고
    • Instability due to viscosity stratification
    • YIH, C. S. 1967 Instability due to viscosity stratification. J. Fluid Mech. 27, 337-352.
    • (1967) J. Fluid Mech. , vol.27 , pp. 337-352
    • Yih, C.S.1
  • 35
    • 0029720166 scopus 로고    scopus 로고
    • Numerical experiments on disturbed two-layer flows in a channel
    • ed. Y. Renardy, A. V. Coward, D. Papageorgiou & S. M. Sun, SIAM
    • YIU, R. R. & CHEN, K. P. 1996 Numerical experiments on disturbed two-layer flows in a channel. In Advances in Multi-Fluid Flows (ed. Y. Renardy, A. V. Coward, D. Papageorgiou & S. M. Sun), pp. 368-382, SIAM.
    • (1996) Advances in Multi-Fluid Flows , pp. 368-382
    • Yiu, R.R.1    Chen, K.P.2
  • 37
    • 0027455679 scopus 로고
    • The flow of suspensions in channels: Single files of drops
    • ZHOU, H. & POZRIKIDIS, C. 1993 The flow of suspensions in channels: single files of drops. Phys. Fluids A 5, 311-324.
    • (1993) Phys. Fluids A , vol.5 , pp. 311-324
    • Zhou, H.1    Pozrikidis, C.2


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